We can find the length of the ladder by squaring the known digits, adding them, and finding the square root of the sum. This would mean our first equation, after squaring, will look like this:

49+81=130

Now that we have <em>c</em> squared, we can go through and find the approximate square root, which is 11.4. That would mean the ladder is 11.4 meters long.

5 0

3 years ago

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A line has a slope of –3 and a y-intercept of (0, –1). What is the equation of the line that is parallel to the given line and p

givi [52]

Well, the first line has a slope of -3, and runs through 0, -1.

a line parallel to that one, will have the same exact slope of -3.

now, we know about this other parallel line that it runs through -3,1, and of course, since is parallel, it has a slope of -3

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~ -3 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=-3[x-(-3)]
\\\\\\
y-1=-3(x+3)
\implies 
y-1=-3x-9\implies y=-3x-8$

6 0

3 years ago